Search a number
-
+
13122232330200 = 2335272446334433
BaseRepresentation
bin1011111011110100000111…
…1111110010011111011000
31201110110202221012021010020
42332331001333302133120
53204443312434031300
643524134215350440
72523023102305200
oct276750177623730
951413687167106
1013122232330200
1141aa120066604
12157b215082420
137425624b3916
14335195a23400
1517b5155e38a0
hexbef41ff27d8

13122232330200 has 144 divisors (see below), whose sum is σ = 47320376692680. Its totient is φ = 2999367383040.

The previous prime is 13122232330187. The next prime is 13122232330201. The reversal of 13122232330200 is 203323222131.

It is a super-2 number, since 2×131222323302002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13122232330201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 223137817 + ... + 223196616.

Almost surely, 213122232330200 is an apocalyptic number.

13122232330200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13122232330200 is an abundant number, since it is smaller than the sum of its proper divisors (34198144362480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13122232330200 is a wasteful number, since it uses less digits than its factorization.

13122232330200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446334466 (or 446334450 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 13122232330200 its reverse (203323222131), we get a palindrome (13325555552331).

The spelling of 13122232330200 in words is "thirteen trillion, one hundred twenty-two billion, two hundred thirty-two million, three hundred thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 49 50 56 60 70 75 84 98 100 105 120 140 147 150 168 175 196 200 210 245 280 294 300 350 392 420 490 525 588 600 700 735 840 980 1050 1176 1225 1400 1470 1960 2100 2450 2940 3675 4200 4900 5880 7350 9800 14700 29400 446334433 892668866 1339003299 1785337732 2231672165 2678006598 3124341031 3570675464 4463344330 5356013196 6248682062 6695016495 8926688660 9373023093 10712026392 11158360825 12497364124 13390032990 15621705155 17853377320 18746046186 21870387217 22316721650 24994728248 26780065980 31243410310 33475082475 37492092372 43740774434 44633443300 46865115465 53560131960 62486820620 65611161651 66950164950 74984184744 78108525775 87481548868 89266886600 93730230930 109351936085 124973641240 131222323302 133900329900 156217051550 174963097736 187460461860 218703872170 234325577325 262444646604 267800659800 312434103100 328055808255 374920923720 437407744340 468651154650 524889293208 546759680425 624868206200 656111616510 874815488680 937302309300 1093519360850 1312223233020 1640279041275 1874604618600 2187038721700 2624446466040 3280558082550 4374077443400 6561116165100 13122232330200